Mr. More spent 20% of his monthly income on food and 15% on children's education. 40% of the remaining he spent on entertainment and transport together and 30% on medical. He is left with an amount of Rs. 8775 after all these expenditures. What is Mr. More's monthly income ?

A. Rs. 35000

B. Rs. 38000

C. Rs. 40000

D. Rs. 42000

E. None of these

Answer: Option E

Solution(By Examveda Team)

Let Mr. More's monthly income be Rs. $$x$$
Then,
[100 - (40 + 30)]% of [100 - 20 + 15]% of $$x$$ = 8775
⇒ 30% of 65% of $$x$$ = 8775
⇒ $$\left( {\frac{{30}}{{100}} \times \frac{{65}}{{100}} \times x} \right)$$   = 8775
⇒ $$\frac{39}{200}$$ $$x$$ = 8775
⇒ $$x$$ = $$\left( {\frac{{8775 \times 200}}{{39}}} \right)$$
⇒ $$x$$ = 45000